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The Buckling of a Uniformly Compressed Plate with Intermediate Supports

Description: This problem has been selected from the mathematical theory of elasticity. We consider a rectangular plate of thickness h, length a, and width b. The plate is subjected to compressive forces. These forces act in the neutral plane and give the plate a tendency to buckle. However, this problem differs from other plate problems in that it is assumed that there are two intermediate supports located on the edges of the plate parallel to the compressive forces.
Date: 1949
Creator: Dean, Thomas S.

A Development of the Real Number System by Means of Nests of Rational Intervals

Description: The system of rational numbers can be extended to the real number system by several methods. In this paper, we shall extend the rational number system by means of rational nests of intervals, and develop the elementary properties of the real numbers obtained by this extension.
Date: 1949
Creator: Williams, Mack Lester